Elements of Geometry |
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Page iii
... considered as the most complete and extensive treatise on the elements of geometry which has yet appeared . It has been adopted as the basis of the article on geometry in the fourth edition of the Encyclopædia Brittanica , lately ...
... considered as the most complete and extensive treatise on the elements of geometry which has yet appeared . It has been adopted as the basis of the article on geometry in the fourth edition of the Encyclopædia Brittanica , lately ...
Page v
... is upon this principle , considered at the same time as a definition and an axiom , that I have endeavoured to established the entire edifice of the elements . 4 翼着 A 1 A 1 T ! It is necessary to the understanding of this work.
... is upon this principle , considered at the same time as a definition and an axiom , that I have endeavoured to established the entire edifice of the elements . 4 翼着 A 1 A 1 T ! It is necessary to the understanding of this work.
Page vii
... considered . We have endeavoured to render it more clear and more rigorous than it is in common works . The second section of the second part treats of polyedrons and of their measure . This section will be found to be very differ- ent ...
... considered . We have endeavoured to render it more clear and more rigorous than it is in common works . The second section of the second part treats of polyedrons and of their measure . This section will be found to be very differ- ent ...
Page ix
... considered as one quantity . A B indicates the quotient arising from the magnitude represent- ed by A being divided by that represented by B , or A divided by B. A = B signifies that the magnitude represented by A is equal to that ...
... considered as one quantity . A B indicates the quotient arising from the magnitude represent- ed by A being divided by that represented by B , or A divided by B. A = B signifies that the magnitude represented by A is equal to that ...
Page 17
... considered with reference to the parallels AB , CD , being alternate - internal an- gles ( 67 ) , are equal ; also since the straight lines EG , FH , are perpendicular to the same straight line AB and consequently ' parallel to each ...
... considered with reference to the parallels AB , CD , being alternate - internal an- gles ( 67 ) , are equal ; also since the straight lines EG , FH , are perpendicular to the same straight line AB and consequently ' parallel to each ...
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Common terms and phrases
ABC fig adjacent angles altitude angle ACB angle BAD base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal and parallel equiangular equilateral equivalent faces figure four right angles frustum Geom gles greater hence homologous sides hypothenuse inclination inscribed circle isosceles join less let fall line AC manner mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism proposition pyramid S-ABC quadrilateral radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium segment semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three plane angles triangle ABC triangular prism triangular pyramids vertex vertices whence